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Fast physical repetitive patterns generation for masking in time-delay reservoir computing.

Apostolos Argyris1, Janek Schwind2,3, Ingo Fischer2

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Area of Science:

  • Physics
  • Computer Science
  • Engineering

Background:

  • Hardware reservoir computing offers conceptual simplicity but faces implementation challenges.
  • The time delay approach, while simple, requires expensive arbitrary waveform generators for ultra-fast processing speeds.
  • Repetitive temporal masking sequences are crucial for mapping input information onto diverse states in time delay reservoirs.

Purpose of the Study:

  • To propose and investigate the physical generation of clock-free, sub-nanosecond repetitive patterns for use as masking sequences.
  • To reduce the instrumentation requirements and cost associated with time delay reservoir computing.
  • To demonstrate the effectiveness of these physically generated sequences in a nonlinear time-series prediction task.

Main Methods:

  • Numerical investigation of a semiconductor laser with a short optical feedback cavity.
  • Focusing on operating conditions yielding periodic signal generation with multiple harmonic frequency tones and sub-nanosecond limit cycle dynamics.
  • Tuning frequency tones to generate diverse repetitive patterns and sampling them for masking sequences.

Main Results:

  • Successfully generated clock-free, sub-nanosecond repetitive patterns with increased intra-pattern diversity.
  • Applied these patterns as masking sequences in a time delay reservoir computing system for nonlinear time-series prediction.
  • Achieved comparable performance to random masking sequences with significantly reduced instrumentation costs.

Conclusions:

  • Physically generated masking sequences from a semiconductor laser offer a cost-effective alternative for time delay reservoir computing.
  • This method simplifies hardware requirements without substantial compromise in prediction task performance.
  • The study highlights a practical approach to overcoming instrumentation limitations in ultra-fast hardware reservoir computing.